Answer:
Angle 1 = 120°
Angle 2 = 35°
Explanation:
Hello!
The sum of degrees of Angles 1 and 18° should be equal to 138°. This is because of the Exterior Angles in a Triangle Theorem:
An exterior angle is the sum of the two remote interior angles.
"Remote-Interior" simply means the two angles farthest away from the exterior angle.
With this info, we can find Angle 1.
Angle 1
- A1 + 18 = 138
- A1 = 138 - 18
- A1 = 120
The measure of angle 1 is 120°.
Using the same rule as last time, we can say that the sum of 85° and Angle 2 would be Angle 1 (120°).
Angle 2
- A1 = 85 + A2
- 120 = 85 + A2
- 120 - 85 = A2
- 35 = A2
The measure of angle 2 is 35°.